SOLUTION: I am having problems setting up and solving the following word problem, can you help? 1. An art dealer sold 2 artworks for $1520 thereby making a profit of 25% on the first wor

Question 131057: I am having problems setting up and solving the following word problem, can you help?
1. An art dealer sold 2 artworks for $1520 thereby making a profit of 25% on the first work and 10% on the other, whereas if he had approached any exhibition he would have sold them together for $1535 with a profit of 10% on the first and 25% on the other art work. Find the actual cost of each artwork.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
An art dealer sold 2 artworks for $1520 thereby making a profit of 25% on the first work and 10% on the other, whereas if he had approached any exhibition he would have sold them together for $1535 with a profit of 10% on the first and 25% on the other art work. Find the actual cost of each artwork.
-----------------------------------
Let price on 1st artwork be "x"; Let price on 2nd artwork be "y".
--------------------------
EQUATIONS:
0.25x + 0.10y = 1520
0.10x + 0.25y = 1535
-------------------------------------------
Rearrange:
25x + 10y = 152000
10x + 25y = 153500
-----------------------
Multiply 1st by 25 and 2nd by 10 to get:
250x + 100y = 152000*10
250x + 625y = 153500*25
-----------------------------
Subtract 1st from 2nd to get:
625y = 2317500
y = $3708
-------------
Substitute to solve for "x":
250x + 100(3708) = 1520000
250x = 1149200
x = $4596.80
----------------
Cheers,
Stan H.

RELATED QUESTIONS
I am having a problem setting up an equation from a word problem for my son can you help. (answered by Alan3354)

This is a word problem I am having trouble setting up. Please help! The oak street... (answered by stanbon,rapaljer)

I am having problems setting up these word problems on travel time, average speed and... (answered by funmath)

An art dealer sold two artworks for $1520 thereby making a profit of 25% on the first... (answered by Photonjohn,okasha)

I have been trying to figure this out for two days. I really need help!!(This is... (answered by dolly)

Please help! I don't know where to begin. Question: An art dealer sold two artworks... (answered by stanbon,ankor@dixie-net.com)

1. An art dealer sold two artworks for $1520 thereby making a profit of 25% on the first... (answered by PS)

I am totally having no luck with setting up and solving the following word problem, can... (answered by stanbon)

I am having trouble setting up the quadratic equation from this word problem. A... (answered by nerdybill,josgarithmetic)